Spectrum of the Dirac Hamiltonian with the mass-hedgehog in arbitrary dimension

Details Spectrum of the Dirac Hamiltonian with the mass-hedgehog in arbitrary dimension Spectrum of the Dirac Hamiltonian with the mass-hedgehog in arbitrary dimension

2010-10-04

arxiv.org/abs/1010.0728v3

Phys.Rev.B83:125412,2011

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages: typos corrected, new section on accidental supersymmetry, added references, many comments, and a figure. Published ve

Scientific paper

10.1103/PhysRevB.83.125412

It is shown that the square of the Dirac Hamiltonian with the isotropic mass-hedgehog potential in d dimensions is the number operator of fictitious bosons and fermions over d quantum states. This result allows one to obtain the complete spectrum and degeneracies of the Dirac Hamiltonian with the hedgehog mass configuration in any dimension. The result pertains to low-energy states in the core of a general superconducting or insulating vortex in graphene in two dimensions, and in the superconducting vortex at the topological - trivial insulator interface in three dimensions, for example. The spectrum in d=2 is also understood in terms of the underlying accidental SU(2) symmetry and the supersymmetry of the Hamiltonian.

Affiliated with

Also associated with

No associations

Rating

Spectrum of the Dirac Hamiltonian with the mass-hedgehog in arbitrary dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spectrum of the Dirac Hamiltonian with the mass-hedgehog in arbitrary dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectrum of the Dirac Hamiltonian with the mass-hedgehog in arbitrary dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-85831